Chapter 11: Quantum Error Correction
Most of the data storage and communication systems we use can be represented as models where information travels from a sender to a receiver. While information is being transmitted through a channel, it may suffer from interference arising from the imperfections of the communication medium. While already crucial in classical systems, in quantum ones, it is essential that we design such corrective code because qubits can easily get corrupted by noise, either during storage or transmission. Entangled states, for example, are inherently fragile as a single qubit decoherence is enough to make the whole system collapse.
Even though quantum error correction cannot imitate its classical counterpart directly, the processes share many concepts, and knowing about the classical techniques is more than useful for understanding the quantum ones.
In this chapter, we are going to cover the following main topics:
- Introducing classical error correction...